can you please provide a stepbystep answer explaining in wor

can you please provide a step-by-step answer explaining in words?

Solution

general equation of line is y=mx+c

given line passes through point (5,9)

=>9=m*5 +c

=>c=9-5m

so equation of line is  y=mx+9-5m, where m is the slope of line

area of triangle ,A=(1_/2)*base *height

area of triangle ,A=(1_/2)xy

area of triangle ,A=(1_/2)x(mx+9-5m)

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